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Finding the Fourth Proportional to 438.44, 605.71 and 327.73

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Solution

The fourth proportional to 438.44, 605.71 and 327.73 is: 452.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.44 : 605.71 = 327.73 : x
  2. Step 2: Convert to fraction form
    438.44/605.71 = 327.73/x
  3. Step 3: Cross multiply
    438.44x = 605.71 × 327.73
  4. Step 4: Simplify right side
    438.44x = 198,506.31
  5. Step 5: Solve for x
    x = 198,506.31/438.44
  6. Step 6: Final answer
    x = 452.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.